Using the Eisenhart-Duval lift, the authors reproduce previously known commuting symmetry operators for the Maxwell (LFKK) equation on Kerr-NUT-(A)dS spacetimes in covariant form, and construct the analogous operator for the Teukolsky equation.
Hidden Symmetry and Exact Solutions in Einstein Gravity
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abstract
Conformal Killing-Yano tensors are introduced as a generalization of Killing vectors. They describe symmetries of higher-dimensional rotating black holes. In particular, a rank-2 closed conformal Killing-Yano tensor generates the tower of both hidden symmetries and isometries. We review a classification of higher-dimensional spacetimes admitting such a tensor, and present exact solutions to the Einstein equations for these spacetimes.
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On symmetry operators for the Maxwell equation on the Kerr-NUT-(A)dS spacetime
Using the Eisenhart-Duval lift, the authors reproduce previously known commuting symmetry operators for the Maxwell (LFKK) equation on Kerr-NUT-(A)dS spacetimes in covariant form, and construct the analogous operator for the Teukolsky equation.